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Finding the Fourth Proportional to 567.11, 854.53 and 466.65

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Solution

The fourth proportional to 567.11, 854.53 and 466.65 is: 703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.11 : 854.53 = 466.65 : x
  2. Step 2: Convert to fraction form
    567.11/854.53 = 466.65/x
  3. Step 3: Cross multiply
    567.11x = 854.53 × 466.65
  4. Step 4: Simplify right side
    567.11x = 398,765.26
  5. Step 5: Solve for x
    x = 398,765.26/567.11
  6. Step 6: Final answer
    x = 703.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.